Finding the Third Proportional to 310,176 and 408,334.50

Step by Step Solution

1. Step 1: Write the proportion equation
   310,176 : 408,334.50 = 408,334.50 : x
2. Step 2: Convert to fraction form
   310,176/408,334.50 = 408,334.50/x
3. Step 3: Cross multiply
   310,176x = 408,334.50 × 408,334.50
4. Step 4: Simplify right side
   310,176x = 166,737,063,890.25
5. Step 5: Solve for x
   x = 166,737,063,890.25/310,176
6. Step 6: Final answer
   x = 537,556.30